Find the solution of the following heat conduction problem using the variable separation method. (0 0) ôt T(0,t)=0, T(1,t)=1, (t>0) %3D T(x,0) = 2x – x², (0
Find the solution of the following heat conduction problem using the variable separation method. (0 0) ôt T(0,t)=0, T(1,t)=1, (t>0) %3D T(x,0) = 2x – x², (0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the solution of the following heat conduction problem
using the variable separation method.
ôT ô°T
ôt
T(0,1)= 0,
(0<x<1, t> 0)
=
T(1,1)=1,
(t> 0)
T(x,0) = 2x – x²,
(0 <x< 1)
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